{"id":"https://openalex.org/W3101363055","doi":"https://doi.org/10.1137/19m1280570","title":"Criterion on Initial Energy for Finite-time Blowup in Parabolic-parabolic Keller--Segel System","display_name":"Criterion on Initial Energy for Finite-time Blowup in Parabolic-parabolic Keller--Segel System","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3101363055","doi":"https://doi.org/10.1137/19m1280570","mag":"3101363055"},"language":"en","primary_location":{"id":"doi:10.1137/19m1280570","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1280570","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5047096692","display_name":"Noriko Mizoguchi","orcid":"https://orcid.org/0000-0003-2876-1795"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Noriko Mizoguchi","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5047096692"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1378,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.5375393,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"52","issue":"6","first_page":"5840","last_page":"5864"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11829","display_name":"Mathematical Biology Tumor Growth","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13362","display_name":"Slime Mold and Myxomycetes Research","score":0.9830999970436096,"subfield":{"id":"https://openalex.org/subfields/2204","display_name":"Biomedical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9749000072479248,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8082485198974609},{"id":"https://openalex.org/keywords/ball","display_name":"Ball (mathematics)","score":0.7067478895187378},{"id":"https://openalex.org/keywords/preprint","display_name":"Preprint","score":0.5782707333564758},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5404897332191467},{"id":"https://openalex.org/keywords/neumann-boundary-condition","display_name":"Neumann boundary condition","score":0.5259597301483154},{"id":"https://openalex.org/keywords/blowing-up","display_name":"Blowing up","score":0.50160813331604},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.48192620277404785},{"id":"https://openalex.org/keywords/parabolic-partial-differential-equation","display_name":"Parabolic partial differential equation","score":0.4748269021511078},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4715483486652374},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.434203565120697},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.37000128626823425},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.1213473379611969},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09462329745292664}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8082485198974609},{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.7067478895187378},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.5782707333564758},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5404897332191467},{"id":"https://openalex.org/C163681178","wikidata":"https://www.wikidata.org/wiki/Q1149279","display_name":"Neumann boundary condition","level":3,"score":0.5259597301483154},{"id":"https://openalex.org/C2780390204","wikidata":"https://www.wikidata.org/wiki/Q1036595","display_name":"Blowing up","level":2,"score":0.50160813331604},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.48192620277404785},{"id":"https://openalex.org/C186867907","wikidata":"https://www.wikidata.org/wiki/Q1575416","display_name":"Parabolic partial differential equation","level":3,"score":0.4748269021511078},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4715483486652374},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.434203565120697},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.37000128626823425},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.1213473379611969},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09462329745292664},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/19m1280570","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1280570","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G412206420","display_name":null,"funder_award_id":"20H01814","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1639545473","https://openalex.org/W1973692656","https://openalex.org/W1974037609","https://openalex.org/W1996570341","https://openalex.org/W2000370113","https://openalex.org/W2026979923","https://openalex.org/W2037359695","https://openalex.org/W2042892258","https://openalex.org/W2045063529","https://openalex.org/W2052821397","https://openalex.org/W2127267075","https://openalex.org/W2964209903","https://openalex.org/W2982640692"],"related_works":["https://openalex.org/W4229365511","https://openalex.org/W3131332557","https://openalex.org/W3045462960","https://openalex.org/W4286761081","https://openalex.org/W100995625","https://openalex.org/W4210578026","https://openalex.org/W1938807311","https://openalex.org/W2170933470","https://openalex.org/W3194042852","https://openalex.org/W2068460184"],"abstract_inverted_index":{"We":[0],"consider":[1],"a":[2,7,22,121],"parabolic-parabolic":[3],"Keller--Segel":[4,64],"system":[5],"in":[6,50,60,92,116],"ball":[8],"of":[9,24,26,57,87],"$":[10,12,37,80,84,127],"\\mathbb{R}^N":[11],"under":[13],"the":[14,61,68],"Neumann":[15],"boundary":[16],"condition.":[17],"This":[18],"was":[19,48,95],"introduced":[20],"as":[21,33],"model":[23],"aggregation":[25,29],"bacteria.":[27],"The":[28],"is":[30],"mathematically":[31],"defined":[32],"finite-time":[34,46,77,124],"blowup.":[35],"When":[36],"N":[38,81,128],"=":[39,129],"2":[40],"$,":[41],"an":[42],"optimal":[43],"criterion":[44,75,122],"for":[45,76,79,123,126],"blowup":[47,78,125],"obtained":[49],"[N.":[51],"Mizoguchi":[52],"and":[53],"M.":[54],"Winkler,":[55,100],"Boundedness":[56],"Global":[58],"Solutions":[59],"Two-Dimensional":[62],"Parabolic":[63],"System,":[65],"preprint].":[66],"On":[67],"other":[69],"hand,":[70],"there":[71],"has":[72],"been":[73],"no":[74],"\\geq":[82],"3":[83],"though":[85],"existence":[86],"radial":[88],"solutions":[89],"blowing":[90],"up":[91],"finite":[93],"time":[94],"known":[96],"due":[97],"to":[98],"[M.":[99],"J.":[101],"Math.":[102],"Pures":[103],"Appl.,":[104],"100":[105],"(2013),":[106],"pp.":[107],"748--767].":[108],"In":[109],"this":[110],"paper,":[111],"focusing":[112],"on":[113],"common":[114],"nature":[115],"all":[117],"dimensions,":[118],"we":[119],"give":[120],"2,":[130],"3,":[131],"4":[132],"$.":[133]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}